362 
PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 
28 
Values of @ for y,=3.5 and i—p=4% 
“a 
D 
3.5 
3.5 
3.5 
5 
5 
3.5 
0.05 | 0.10 | 0.14 | 0.25 
3-5 
3-50 
*.48 
?,42 
:-22 
2,37 
3-5 
3-50 
2.48 
2.39 
13 
III 
3-5 
3-51 
2.48 
- 30 
oO 
3-5 
3.52 
2.50 
= 42 
Bi 
0.5 | 0.75 , 
3.5 
1.56 
56 
221 
51 
3.44 
3.5 
3.59 
2.62 
2.64 
2.66 
3.66 
3-5 
3.63 
3.68 
3.72 
3.74 
1.77 
Le 
3) 
6 
Yc (f—p)—ow 
(1—w)(—p) 
le __ _ © 
—w (1—w)(i—g) 
whence 
4) 
0 < 0 . 
I — 
Yo (à — Ç) 
b) yeli—p) < vw < 1. 
T tends to zero and from (536-1), we have 
0 — 7 — 
9 PTIT ,T 
I — (I —p) 
5) 
so that 
I I—w i — p)l 
((—p)L I—Yl—P) © 
Here, © can tend to any value according to the value of w. 
For en=1 we have 
(i- 
This is the same limit as for ©. 
7) 
= 
T 
GLI 1e =o 
c) w= Yc(i—p). 
Here T again tends to zero and relation (536-2) gives 
8) AewT 
Thus ®, tends to zero. 
i1] Allais - pag. 266